Circumradius of Hexadecagon given Perimeter Calculator

✖Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.ⓘ Perimeter of Hexadecagon [P]

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✖Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.ⓘ Circumradius of Hexadecagon given Perimeter [r_c]

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Circumradius of Hexadecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16
r_c = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*P/16
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Circumradius of Hexadecagon - (Measured in Meter) - Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.
Perimeter of Hexadecagon - (Measured in Meter) - Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Hexadecagon: 80 Meter --> 80 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*P/16 --> sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*80/16

Evaluating ... ...

r_c = 12.8145772387075

STEP 3: Convert Result to Output's Unit

12.8145772387075 Meter --> No Conversion Required

FINAL ANSWER

12.8145772387075 ≈ 12.81458 Meter <-- Circumradius of Hexadecagon

(Calculation completed in 00.004 seconds)

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< Circumradius of Hexadecagon Calculators

Circumradius of Hexadecagon given Diagonal across Seven Sides

LaTeX Go Circumradius of Hexadecagon = (Diagonal across Seven Sides of Hexadecagon*sin(pi/16))/sin((7*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)

Circumradius of Hexadecagon given Diagonal across Six Sides

LaTeX Go Circumradius of Hexadecagon = (Diagonal across Six Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/8)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)

Circumradius of Hexadecagon

LaTeX Go Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Side of Hexadecagon

Circumradius of Hexadecagon given Diagonal across Eight Sides

LaTeX Go Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2

Circumradius of Hexadecagon given Perimeter Formula

LaTeX Go

Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16
r_c = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*P/16

What is Hexadecagon?

A Hexadecagon is a 16-sided polygon, in which all angles are equal and all sides are congruent. Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees. Hexadecagons are sometimes used in art and architecture.

How to Calculate Circumradius of Hexadecagon given Perimeter?

Circumradius of Hexadecagon given Perimeter calculator uses Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16 to calculate the Circumradius of Hexadecagon, The Circumradius of Hexadecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using perimeter. Circumradius of Hexadecagon is denoted by r_c symbol.

How to calculate Circumradius of Hexadecagon given Perimeter using this online calculator? To use this online calculator for Circumradius of Hexadecagon given Perimeter, enter Perimeter of Hexadecagon (P) and hit the calculate button. Here is how the Circumradius of Hexadecagon given Perimeter calculation can be explained with given input values -> 12.81458 = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*80/16.

FAQ

What is Circumradius of Hexadecagon given Perimeter?

The Circumradius of Hexadecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using perimeter and is represented as r_c = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*P/16 or Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16. Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.

How to calculate Circumradius of Hexadecagon given Perimeter?

The Circumradius of Hexadecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using perimeter is calculated using Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Perimeter of Hexadecagon/16. To calculate Circumradius of Hexadecagon given Perimeter, you need Perimeter of Hexadecagon (P). With our tool, you need to enter the respective value for Perimeter of Hexadecagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circumradius of Hexadecagon?

In this formula, Circumradius of Hexadecagon uses Perimeter of Hexadecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2
Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Side of Hexadecagon
Circumradius of Hexadecagon = (Diagonal across Seven Sides of Hexadecagon*sin(pi/16))/sin((7*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)

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